401327136 has 288 divisors, whose sum is σ = 1384725888. Its totient is φ = 111974400.

The previous prime is 401327131. The next prime is 401327141. The reversal of 401327136 is 631723104.

It is an interprime number because it is at equal distance from previous prime (401327131) and next prime (401327141).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401327136² = 322126940179924992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401327131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973486 + ... + 3973586.

It is an arithmetic number, because the mean of its divisors is an integer number (4808076).

Almost surely, 2^401327136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401327136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692362944).

401327136 is an abundant number, since it is smaller than the sum of its proper divisors (983398752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401327136 is a wasteful number, since it uses less digits than its factorization.

401327136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 401327136 is about 20033.1509254036. The cubic root of 401327136 is about 737.6202686556.

The spelling of 401327136 in words is "four hundred one million, three hundred twenty-seven thousand, one hundred thirty-six".